TSTP Solution File: SWV053+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWV053+1 : TPTP v5.0.0. Bugfixed v3.3.0.
% 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 : Sun Dec 26 11:58:48 EST 2010
% Result : Theorem 0.74s
% Output : CNFRefutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 13
% Syntax : Number of formulae : 171 ( 65 unt; 0 def)
% Number of atoms : 726 ( 225 equ)
% Maximal formula atoms : 73 ( 4 avg)
% Number of connectives : 893 ( 338 ~; 461 |; 84 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-3 aty)
% Number of variables : 91 ( 3 sgn 54 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] : plus(n4,X1) = succ(succ(succ(succ(X1)))),
file('/tmp/tmpiCvNVH/sel_SWV053+1.p_1',succ_plus_4_l) ).
fof(7,axiom,
! [X1] : plus(X1,n3) = succ(succ(succ(X1))),
file('/tmp/tmpiCvNVH/sel_SWV053+1.p_1',succ_plus_3_r) ).
fof(8,axiom,
! [X1] : plus(X1,n4) = succ(succ(succ(succ(X1)))),
file('/tmp/tmpiCvNVH/sel_SWV053+1.p_1',succ_plus_4_r) ).
fof(9,axiom,
! [X4] : sum(n0,tptp_minus_1,X4) = n0,
file('/tmp/tmpiCvNVH/sel_SWV053+1.p_1',sum_plus_base) ).
fof(13,axiom,
succ(tptp_minus_1) = n0,
file('/tmp/tmpiCvNVH/sel_SWV053+1.p_1',succ_tptp_minus_1) ).
fof(14,axiom,
! [X1] : plus(X1,n2) = succ(succ(X1)),
file('/tmp/tmpiCvNVH/sel_SWV053+1.p_1',succ_plus_2_r) ).
fof(17,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/tmp/tmpiCvNVH/sel_SWV053+1.p_1',succ_plus_1_r) ).
fof(22,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/tmp/tmpiCvNVH/sel_SWV053+1.p_1',pred_minus_1) ).
fof(23,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/tmp/tmpiCvNVH/sel_SWV053+1.p_1',succ_plus_1_l) ).
fof(27,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/tmp/tmpiCvNVH/sel_SWV053+1.p_1',pred_succ) ).
fof(46,conjecture,
( ( leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ! [X5,X6] :
( ( leq(n0,X5)
& leq(X5,minus(pv12,n1)) )
=> a_select3(q,pv10,X5) = divide(sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X6,n0),a_select2(x,pv10)),minus(a_select3(center,X6,n0),a_select2(x,pv10)))))) )
& ! [X7,X8] :
( ( leq(n0,X7)
& leq(X7,minus(pv10,n1)) )
=> sum(n0,minus(n5,n1),a_select3(q,X7,X8)) = n1 ) )
=> ( n0 = sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ! [X9,X10] :
( ( leq(n0,X9)
& leq(X9,minus(pv12,n1)) )
=> a_select3(q,pv10,X9) = divide(sqrt(times(minus(a_select3(center,X9,n0),a_select2(x,pv10)),minus(a_select3(center,X9,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X10,n0),a_select2(x,pv10)),minus(a_select3(center,X10,n0),a_select2(x,pv10)))))) )
& ! [X11,X12] :
( ( leq(n0,X11)
& leq(X11,minus(pv10,n1)) )
=> sum(n0,minus(n5,n1),a_select3(q,X11,X12)) = n1 ) ) ),
file('/tmp/tmpiCvNVH/sel_SWV053+1.p_1',cl5_nebula_norm_0031) ).
fof(62,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/tmp/tmpiCvNVH/sel_SWV053+1.p_1',successor_4) ).
fof(63,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/tmp/tmpiCvNVH/sel_SWV053+1.p_1',successor_5) ).
fof(70,negated_conjecture,
~ ( ( leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ! [X5,X6] :
( ( leq(n0,X5)
& leq(X5,minus(pv12,n1)) )
=> a_select3(q,pv10,X5) = divide(sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X6,n0),a_select2(x,pv10)),minus(a_select3(center,X6,n0),a_select2(x,pv10)))))) )
& ! [X7,X8] :
( ( leq(n0,X7)
& leq(X7,minus(pv10,n1)) )
=> sum(n0,minus(n5,n1),a_select3(q,X7,X8)) = n1 ) )
=> ( n0 = sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ! [X9,X10] :
( ( leq(n0,X9)
& leq(X9,minus(pv12,n1)) )
=> a_select3(q,pv10,X9) = divide(sqrt(times(minus(a_select3(center,X9,n0),a_select2(x,pv10)),minus(a_select3(center,X9,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X10,n0),a_select2(x,pv10)),minus(a_select3(center,X10,n0),a_select2(x,pv10)))))) )
& ! [X11,X12] :
( ( leq(n0,X11)
& leq(X11,minus(pv10,n1)) )
=> sum(n0,minus(n5,n1),a_select3(q,X11,X12)) = n1 ) ) ),
inference(assume_negation,[status(cth)],[46]) ).
fof(72,plain,
! [X2] : plus(n4,X2) = succ(succ(succ(succ(X2)))),
inference(variable_rename,[status(thm)],[1]) ).
cnf(73,plain,
plus(n4,X1) = succ(succ(succ(succ(X1)))),
inference(split_conjunct,[status(thm)],[72]) ).
fof(89,plain,
! [X2] : plus(X2,n3) = succ(succ(succ(X2))),
inference(variable_rename,[status(thm)],[7]) ).
cnf(90,plain,
plus(X1,n3) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[89]) ).
fof(91,plain,
! [X2] : plus(X2,n4) = succ(succ(succ(succ(X2)))),
inference(variable_rename,[status(thm)],[8]) ).
cnf(92,plain,
plus(X1,n4) = succ(succ(succ(succ(X1)))),
inference(split_conjunct,[status(thm)],[91]) ).
fof(93,plain,
! [X5] : sum(n0,tptp_minus_1,X5) = n0,
inference(variable_rename,[status(thm)],[9]) ).
cnf(94,plain,
sum(n0,tptp_minus_1,X1) = n0,
inference(split_conjunct,[status(thm)],[93]) ).
cnf(103,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[13]) ).
fof(104,plain,
! [X2] : plus(X2,n2) = succ(succ(X2)),
inference(variable_rename,[status(thm)],[14]) ).
cnf(105,plain,
plus(X1,n2) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[104]) ).
fof(110,plain,
! [X2] : plus(X2,n1) = succ(X2),
inference(variable_rename,[status(thm)],[17]) ).
cnf(111,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[110]) ).
fof(120,plain,
! [X2] : minus(X2,n1) = pred(X2),
inference(variable_rename,[status(thm)],[22]) ).
cnf(121,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[120]) ).
fof(122,plain,
! [X2] : plus(n1,X2) = succ(X2),
inference(variable_rename,[status(thm)],[23]) ).
cnf(123,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[122]) ).
fof(135,plain,
! [X2] : pred(succ(X2)) = X2,
inference(variable_rename,[status(thm)],[27]) ).
cnf(136,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[135]) ).
fof(158,negated_conjecture,
( leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ! [X5,X6] :
( ~ leq(n0,X5)
| ~ leq(X5,minus(pv12,n1))
| a_select3(q,pv10,X5) = divide(sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X6,n0),a_select2(x,pv10)),minus(a_select3(center,X6,n0),a_select2(x,pv10)))))) )
& ! [X7,X8] :
( ~ leq(n0,X7)
| ~ leq(X7,minus(pv10,n1))
| sum(n0,minus(n5,n1),a_select3(q,X7,X8)) = n1 )
& ( n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1))
| ? [X9,X10] :
( leq(n0,X9)
& leq(X9,minus(pv12,n1))
& a_select3(q,pv10,X9) != divide(sqrt(times(minus(a_select3(center,X9,n0),a_select2(x,pv10)),minus(a_select3(center,X9,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X10,n0),a_select2(x,pv10)),minus(a_select3(center,X10,n0),a_select2(x,pv10)))))) )
| ? [X11,X12] :
( leq(n0,X11)
& leq(X11,minus(pv10,n1))
& sum(n0,minus(n5,n1),a_select3(q,X11,X12)) != n1 ) ) ),
inference(fof_nnf,[status(thm)],[70]) ).
fof(159,negated_conjecture,
( leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ! [X13,X14] :
( ~ leq(n0,X13)
| ~ leq(X13,minus(pv12,n1))
| a_select3(q,pv10,X13) = divide(sqrt(times(minus(a_select3(center,X13,n0),a_select2(x,pv10)),minus(a_select3(center,X13,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X14,n0),a_select2(x,pv10)),minus(a_select3(center,X14,n0),a_select2(x,pv10)))))) )
& ! [X15,X16] :
( ~ leq(n0,X15)
| ~ leq(X15,minus(pv10,n1))
| sum(n0,minus(n5,n1),a_select3(q,X15,X16)) = n1 )
& ( n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1))
| ? [X17,X18] :
( leq(n0,X17)
& leq(X17,minus(pv12,n1))
& a_select3(q,pv10,X17) != divide(sqrt(times(minus(a_select3(center,X17,n0),a_select2(x,pv10)),minus(a_select3(center,X17,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X18,n0),a_select2(x,pv10)),minus(a_select3(center,X18,n0),a_select2(x,pv10)))))) )
| ? [X19,X20] :
( leq(n0,X19)
& leq(X19,minus(pv10,n1))
& sum(n0,minus(n5,n1),a_select3(q,X19,X20)) != n1 ) ) ),
inference(variable_rename,[status(thm)],[158]) ).
fof(160,negated_conjecture,
( leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ! [X13,X14] :
( ~ leq(n0,X13)
| ~ leq(X13,minus(pv12,n1))
| a_select3(q,pv10,X13) = divide(sqrt(times(minus(a_select3(center,X13,n0),a_select2(x,pv10)),minus(a_select3(center,X13,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X14,n0),a_select2(x,pv10)),minus(a_select3(center,X14,n0),a_select2(x,pv10)))))) )
& ! [X15,X16] :
( ~ leq(n0,X15)
| ~ leq(X15,minus(pv10,n1))
| sum(n0,minus(n5,n1),a_select3(q,X15,X16)) = n1 )
& ( n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1))
| ( leq(n0,esk1_0)
& leq(esk1_0,minus(pv12,n1))
& a_select3(q,pv10,esk1_0) != divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) )
| ( leq(n0,esk3_0)
& leq(esk3_0,minus(pv10,n1))
& sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1 ) ) ),
inference(skolemize,[status(esa)],[159]) ).
fof(161,negated_conjecture,
! [X13,X14,X15,X16] :
( ( ~ leq(n0,X15)
| ~ leq(X15,minus(pv10,n1))
| sum(n0,minus(n5,n1),a_select3(q,X15,X16)) = n1 )
& ( ~ leq(n0,X13)
| ~ leq(X13,minus(pv12,n1))
| a_select3(q,pv10,X13) = divide(sqrt(times(minus(a_select3(center,X13,n0),a_select2(x,pv10)),minus(a_select3(center,X13,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X14,n0),a_select2(x,pv10)),minus(a_select3(center,X14,n0),a_select2(x,pv10)))))) )
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ( n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1))
| ( leq(n0,esk1_0)
& leq(esk1_0,minus(pv12,n1))
& a_select3(q,pv10,esk1_0) != divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) )
| ( leq(n0,esk3_0)
& leq(esk3_0,minus(pv10,n1))
& sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1 ) ) ),
inference(shift_quantors,[status(thm)],[160]) ).
fof(162,negated_conjecture,
! [X13,X14,X15,X16] :
( ( ~ leq(n0,X15)
| ~ leq(X15,minus(pv10,n1))
| sum(n0,minus(n5,n1),a_select3(q,X15,X16)) = n1 )
& ( ~ leq(n0,X13)
| ~ leq(X13,minus(pv12,n1))
| a_select3(q,pv10,X13) = divide(sqrt(times(minus(a_select3(center,X13,n0),a_select2(x,pv10)),minus(a_select3(center,X13,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X14,n0),a_select2(x,pv10)),minus(a_select3(center,X14,n0),a_select2(x,pv10)))))) )
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ( leq(n0,esk3_0)
| leq(n0,esk1_0)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( leq(esk3_0,minus(pv10,n1))
| leq(n0,esk1_0)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| leq(n0,esk1_0)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( leq(n0,esk3_0)
| leq(esk1_0,minus(pv12,n1))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( leq(esk3_0,minus(pv10,n1))
| leq(esk1_0,minus(pv12,n1))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| leq(esk1_0,minus(pv12,n1))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( leq(n0,esk3_0)
| a_select3(q,pv10,esk1_0) != divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10))))))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( leq(esk3_0,minus(pv10,n1))
| a_select3(q,pv10,esk1_0) != divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10))))))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| a_select3(q,pv10,esk1_0) != divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10))))))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ) ),
inference(distribute,[status(thm)],[161]) ).
cnf(163,negated_conjecture,
( ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| a_select3(q,pv10,esk1_0) != divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10))))))
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(164,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| a_select3(q,pv10,esk1_0) != divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(165,negated_conjecture,
( leq(n0,esk3_0)
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| a_select3(q,pv10,esk1_0) != divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(166,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(167,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| leq(esk3_0,minus(pv10,n1))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(168,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| leq(n0,esk3_0)
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(169,negated_conjecture,
( leq(n0,esk1_0)
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(170,negated_conjecture,
( leq(n0,esk1_0)
| leq(esk3_0,minus(pv10,n1))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(171,negated_conjecture,
( leq(n0,esk1_0)
| leq(n0,esk3_0)
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(172,negated_conjecture,
leq(pv12,minus(n5,n1)),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(173,negated_conjecture,
leq(pv10,minus(n135300,n1)),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(174,negated_conjecture,
leq(n0,pv12),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(175,negated_conjecture,
leq(n0,pv10),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(176,negated_conjecture,
( a_select3(q,pv10,X1) = divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10))))))
| ~ leq(X1,minus(pv12,n1))
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(177,negated_conjecture,
( sum(n0,minus(n5,n1),a_select3(q,X1,X2)) = n1
| ~ leq(X1,minus(pv10,n1))
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(205,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[62]) ).
cnf(206,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[63]) ).
cnf(214,plain,
plus(tptp_minus_1,n1) = n0,
inference(rw,[status(thm)],[103,111,theory(equality)]),
[unfolding] ).
cnf(216,plain,
pred(plus(X1,n1)) = X1,
inference(rw,[status(thm)],[136,111,theory(equality)]),
[unfolding] ).
cnf(217,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[123,111,theory(equality)]),
[unfolding] ).
cnf(220,plain,
plus(X1,n2) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[105,111,theory(equality)]),111,theory(equality)]),
[unfolding] ).
cnf(223,plain,
plus(plus(plus(X1,n1),n1),n1) = plus(X1,n3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[90,111,theory(equality)]),111,theory(equality)]),111,theory(equality)]),
[unfolding] ).
cnf(225,plain,
plus(plus(plus(plus(n0,n1),n1),n1),n1) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[205,111,theory(equality)]),111,theory(equality)]),111,theory(equality)]),111,theory(equality)]),
[unfolding] ).
cnf(226,plain,
plus(plus(plus(plus(X1,n1),n1),n1),n1) = plus(X1,n4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[92,111,theory(equality)]),111,theory(equality)]),111,theory(equality)]),111,theory(equality)]),
[unfolding] ).
cnf(227,plain,
plus(plus(plus(plus(X1,n1),n1),n1),n1) = plus(n4,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[73,111,theory(equality)]),111,theory(equality)]),111,theory(equality)]),111,theory(equality)]),
[unfolding] ).
cnf(228,plain,
plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[206,111,theory(equality)]),111,theory(equality)]),111,theory(equality)]),111,theory(equality)]),111,theory(equality)]),
[unfolding] ).
cnf(238,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[216,121,theory(equality)]),
[unfolding] ).
cnf(279,plain,
minus(plus(n1,X1),n1) = X1,
inference(spm,[status(thm)],[238,217,theory(equality)]) ).
cnf(283,plain,
plus(n1,tptp_minus_1) = n0,
inference(rw,[status(thm)],[214,217,theory(equality)]) ).
cnf(353,plain,
plus(n1,plus(X1,n1)) = plus(X1,n2),
inference(rw,[status(thm)],[220,217,theory(equality)]) ).
cnf(405,plain,
plus(n1,plus(X1,n2)) = plus(X1,n3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[223,217,theory(equality)]),353,theory(equality)]),217,theory(equality)]) ).
cnf(424,plain,
plus(n1,plus(n0,n3)) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[225,217,theory(equality)]),353,theory(equality)]),217,theory(equality)]),405,theory(equality)]),217,theory(equality)]) ).
cnf(425,plain,
plus(n1,n4) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[228,217,theory(equality)]),353,theory(equality)]),217,theory(equality)]),405,theory(equality)]),217,theory(equality)]),424,theory(equality)]),217,theory(equality)]) ).
cnf(426,plain,
plus(n1,plus(X1,n3)) = plus(X1,n4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[226,217,theory(equality)]),353,theory(equality)]),217,theory(equality)]),405,theory(equality)]),217,theory(equality)]) ).
cnf(431,plain,
plus(X1,n4) = plus(n4,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[227,217,theory(equality)]),353,theory(equality)]),217,theory(equality)]),405,theory(equality)]),217,theory(equality)]),426,theory(equality)]) ).
cnf(432,plain,
minus(plus(n1,n4),n1) = n4,
inference(spm,[status(thm)],[238,431,theory(equality)]) ).
cnf(445,plain,
minus(n5,n1) = n4,
inference(rw,[status(thm)],[432,425,theory(equality)]) ).
cnf(475,negated_conjecture,
( leq(n0,esk1_0)
| leq(n0,esk3_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[171,175,theory(equality)]) ).
cnf(476,negated_conjecture,
( leq(n0,esk1_0)
| leq(n0,esk3_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| $false
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[475,174,theory(equality)]) ).
cnf(477,negated_conjecture,
( leq(n0,esk1_0)
| leq(n0,esk3_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| $false
| $false
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[476,173,theory(equality)]) ).
cnf(478,negated_conjecture,
( leq(n0,esk1_0)
| leq(n0,esk3_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[477,172,theory(equality)]) ).
cnf(479,negated_conjecture,
( leq(n0,esk1_0)
| leq(n0,esk3_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[478,theory(equality)]) ).
cnf(480,negated_conjecture,
( leq(n0,esk1_0)
| leq(esk3_0,minus(pv10,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[170,175,theory(equality)]) ).
cnf(481,negated_conjecture,
( leq(n0,esk1_0)
| leq(esk3_0,minus(pv10,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| $false
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[480,174,theory(equality)]) ).
cnf(482,negated_conjecture,
( leq(n0,esk1_0)
| leq(esk3_0,minus(pv10,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| $false
| $false
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[481,173,theory(equality)]) ).
cnf(483,negated_conjecture,
( leq(n0,esk1_0)
| leq(esk3_0,minus(pv10,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[482,172,theory(equality)]) ).
cnf(484,negated_conjecture,
( leq(n0,esk1_0)
| leq(esk3_0,minus(pv10,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[483,theory(equality)]) ).
cnf(485,negated_conjecture,
( leq(n0,esk3_0)
| leq(esk1_0,minus(pv12,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[168,175,theory(equality)]) ).
cnf(486,negated_conjecture,
( leq(n0,esk3_0)
| leq(esk1_0,minus(pv12,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| $false
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[485,174,theory(equality)]) ).
cnf(487,negated_conjecture,
( leq(n0,esk3_0)
| leq(esk1_0,minus(pv12,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| $false
| $false
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[486,173,theory(equality)]) ).
cnf(488,negated_conjecture,
( leq(n0,esk3_0)
| leq(esk1_0,minus(pv12,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[487,172,theory(equality)]) ).
cnf(489,negated_conjecture,
( leq(n0,esk3_0)
| leq(esk1_0,minus(pv12,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[488,theory(equality)]) ).
cnf(490,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| leq(esk3_0,minus(pv10,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[167,175,theory(equality)]) ).
cnf(491,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| leq(esk3_0,minus(pv10,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| $false
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[490,174,theory(equality)]) ).
cnf(492,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| leq(esk3_0,minus(pv10,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| $false
| $false
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[491,173,theory(equality)]) ).
cnf(493,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| leq(esk3_0,minus(pv10,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[492,172,theory(equality)]) ).
cnf(494,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| leq(esk3_0,minus(pv10,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[493,theory(equality)]) ).
cnf(495,negated_conjecture,
( leq(n0,esk1_0)
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[169,175,theory(equality)]) ).
cnf(496,negated_conjecture,
( leq(n0,esk1_0)
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| $false
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[495,174,theory(equality)]) ).
cnf(497,negated_conjecture,
( leq(n0,esk1_0)
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| $false
| $false
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[496,173,theory(equality)]) ).
cnf(498,negated_conjecture,
( leq(n0,esk1_0)
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[497,172,theory(equality)]) ).
cnf(499,negated_conjecture,
( leq(n0,esk1_0)
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[498,theory(equality)]) ).
cnf(500,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[166,175,theory(equality)]) ).
cnf(501,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| $false
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[500,174,theory(equality)]) ).
cnf(502,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| $false
| $false
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[501,173,theory(equality)]) ).
cnf(503,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[502,172,theory(equality)]) ).
cnf(504,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[503,theory(equality)]) ).
cnf(505,negated_conjecture,
( leq(n0,esk3_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| $false
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[165,175,theory(equality)]) ).
cnf(506,negated_conjecture,
( leq(n0,esk3_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| $false
| $false
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[505,174,theory(equality)]) ).
cnf(507,negated_conjecture,
( leq(n0,esk3_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| $false
| $false
| $false
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[506,173,theory(equality)]) ).
cnf(508,negated_conjecture,
( leq(n0,esk3_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[507,172,theory(equality)]) ).
cnf(509,negated_conjecture,
( leq(n0,esk3_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0) ),
inference(cn,[status(thm)],[508,theory(equality)]) ).
cnf(511,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| $false
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[164,175,theory(equality)]) ).
cnf(512,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| $false
| $false
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[511,174,theory(equality)]) ).
cnf(513,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| $false
| $false
| $false
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[512,173,theory(equality)]) ).
cnf(514,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[513,172,theory(equality)]) ).
cnf(515,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0) ),
inference(cn,[status(thm)],[514,theory(equality)]) ).
cnf(517,negated_conjecture,
( sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| $false
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[163,175,theory(equality)]) ).
cnf(518,negated_conjecture,
( sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| $false
| $false
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[517,174,theory(equality)]) ).
cnf(519,negated_conjecture,
( sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| $false
| $false
| $false
| ~ leq(pv12,minus(n5,n1)) ),
inference(rw,[status(thm)],[518,173,theory(equality)]) ).
cnf(520,negated_conjecture,
( sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[519,172,theory(equality)]) ).
cnf(521,negated_conjecture,
( sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0) ),
inference(cn,[status(thm)],[520,theory(equality)]) ).
cnf(669,negated_conjecture,
( divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(rw,[status(thm)],[521,445,theory(equality)]) ).
cnf(670,negated_conjecture,
( divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(rw,[status(thm)],[669,445,theory(equality)]) ).
cnf(671,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(rw,[status(thm)],[515,445,theory(equality)]) ).
cnf(672,negated_conjecture,
( leq(n0,esk3_0)
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(rw,[status(thm)],[509,445,theory(equality)]) ).
cnf(673,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(rw,[status(thm)],[504,445,theory(equality)]) ).
cnf(674,negated_conjecture,
( divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))))) = a_select3(q,pv10,X1)
| ~ leq(X1,minus(pv12,n1))
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[176,445,theory(equality)]) ).
cnf(675,negated_conjecture,
( leq(n0,esk1_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(rw,[status(thm)],[499,445,theory(equality)]) ).
cnf(676,negated_conjecture,
( sum(n0,n4,a_select3(q,X1,X2)) = n1
| ~ leq(X1,minus(pv10,n1))
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[177,445,theory(equality)]) ).
cnf(857,plain,
minus(n0,n1) = tptp_minus_1,
inference(spm,[status(thm)],[279,283,theory(equality)]) ).
cnf(880,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| $false
| sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[673,857,theory(equality)]),94,theory(equality)]) ).
cnf(881,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(cn,[status(thm)],[880,theory(equality)]) ).
cnf(882,negated_conjecture,
( leq(n0,esk3_0)
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[672,857,theory(equality)]),94,theory(equality)]) ).
cnf(883,negated_conjecture,
( leq(n0,esk3_0)
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0) ),
inference(cn,[status(thm)],[882,theory(equality)]) ).
cnf(884,negated_conjecture,
( leq(n0,esk1_0)
| $false
| sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[675,857,theory(equality)]),94,theory(equality)]) ).
cnf(885,negated_conjecture,
( leq(n0,esk1_0)
| sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(cn,[status(thm)],[884,theory(equality)]) ).
cnf(886,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[671,857,theory(equality)]),94,theory(equality)]) ).
cnf(887,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0) ),
inference(cn,[status(thm)],[886,theory(equality)]) ).
cnf(888,negated_conjecture,
( divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| $false
| sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[670,857,theory(equality)]),94,theory(equality)]) ).
cnf(889,negated_conjecture,
( divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(cn,[status(thm)],[888,theory(equality)]) ).
cnf(890,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| leq(esk1_0,minus(pv12,n1))
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[494,857,theory(equality)]),94,theory(equality)]) ).
cnf(891,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| leq(esk1_0,minus(pv12,n1)) ),
inference(cn,[status(thm)],[890,theory(equality)]) ).
cnf(892,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| leq(n0,esk3_0)
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[489,857,theory(equality)]),94,theory(equality)]) ).
cnf(893,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| leq(n0,esk3_0) ),
inference(cn,[status(thm)],[892,theory(equality)]) ).
cnf(894,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| leq(n0,esk1_0)
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[484,857,theory(equality)]),94,theory(equality)]) ).
cnf(895,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| leq(n0,esk1_0) ),
inference(cn,[status(thm)],[894,theory(equality)]) ).
cnf(896,negated_conjecture,
( leq(n0,esk3_0)
| leq(n0,esk1_0)
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[479,857,theory(equality)]),94,theory(equality)]) ).
cnf(897,negated_conjecture,
( leq(n0,esk3_0)
| leq(n0,esk1_0) ),
inference(cn,[status(thm)],[896,theory(equality)]) ).
cnf(908,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| ~ leq(esk3_0,minus(pv10,n1))
| ~ leq(n0,esk3_0) ),
inference(spm,[status(thm)],[881,676,theory(equality)]) ).
cnf(918,negated_conjecture,
( leq(n0,esk3_0)
| ~ leq(esk1_0,minus(pv12,n1))
| ~ leq(n0,esk1_0) ),
inference(spm,[status(thm)],[883,674,theory(equality)]) ).
cnf(925,negated_conjecture,
( leq(n0,esk1_0)
| ~ leq(esk3_0,minus(pv10,n1))
| ~ leq(n0,esk3_0) ),
inference(spm,[status(thm)],[885,676,theory(equality)]) ).
cnf(926,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| ~ leq(esk1_0,minus(pv12,n1))
| ~ leq(n0,esk1_0) ),
inference(spm,[status(thm)],[887,674,theory(equality)]) ).
cnf(960,negated_conjecture,
( sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1
| ~ leq(esk1_0,minus(pv12,n1))
| ~ leq(n0,esk1_0) ),
inference(spm,[status(thm)],[889,674,theory(equality)]) ).
cnf(1721,negated_conjecture,
( leq(n0,esk3_0)
| ~ leq(esk1_0,minus(pv12,n1)) ),
inference(csr,[status(thm)],[918,897]) ).
cnf(1722,negated_conjecture,
leq(n0,esk3_0),
inference(csr,[status(thm)],[1721,893]) ).
cnf(1764,negated_conjecture,
( leq(n0,esk1_0)
| ~ leq(esk3_0,minus(pv10,n1))
| $false ),
inference(rw,[status(thm)],[925,1722,theory(equality)]) ).
cnf(1765,negated_conjecture,
( leq(n0,esk1_0)
| ~ leq(esk3_0,minus(pv10,n1)) ),
inference(cn,[status(thm)],[1764,theory(equality)]) ).
cnf(1766,negated_conjecture,
leq(n0,esk1_0),
inference(csr,[status(thm)],[1765,895]) ).
cnf(6276,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| ~ leq(esk3_0,minus(pv10,n1))
| $false ),
inference(rw,[status(thm)],[908,1722,theory(equality)]) ).
cnf(6277,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| ~ leq(esk3_0,minus(pv10,n1)) ),
inference(cn,[status(thm)],[6276,theory(equality)]) ).
cnf(6278,negated_conjecture,
leq(esk1_0,minus(pv12,n1)),
inference(csr,[status(thm)],[6277,891]) ).
cnf(7211,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| $false
| ~ leq(n0,esk1_0) ),
inference(rw,[status(thm)],[926,6278,theory(equality)]) ).
cnf(7212,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| $false
| $false ),
inference(rw,[status(thm)],[7211,1766,theory(equality)]) ).
cnf(7213,negated_conjecture,
leq(esk3_0,minus(pv10,n1)),
inference(cn,[status(thm)],[7212,theory(equality)]) ).
cnf(9987,negated_conjecture,
( sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1
| $false
| ~ leq(n0,esk1_0) ),
inference(rw,[status(thm)],[960,6278,theory(equality)]) ).
cnf(9988,negated_conjecture,
( sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1
| $false
| $false ),
inference(rw,[status(thm)],[9987,1766,theory(equality)]) ).
cnf(9989,negated_conjecture,
sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1,
inference(cn,[status(thm)],[9988,theory(equality)]) ).
cnf(9990,negated_conjecture,
( ~ leq(esk3_0,minus(pv10,n1))
| ~ leq(n0,esk3_0) ),
inference(spm,[status(thm)],[9989,676,theory(equality)]) ).
cnf(9992,negated_conjecture,
( $false
| ~ leq(n0,esk3_0) ),
inference(rw,[status(thm)],[9990,7213,theory(equality)]) ).
cnf(9993,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[9992,1722,theory(equality)]) ).
cnf(9994,negated_conjecture,
$false,
inference(cn,[status(thm)],[9993,theory(equality)]) ).
cnf(9995,negated_conjecture,
$false,
9994,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV053+1.p
% --creating new selector for [SWV003+0.ax]
% -running prover on /tmp/tmpiCvNVH/sel_SWV053+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV053+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV053+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV053+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
%
%------------------------------------------------------------------------------