TSTP Solution File: SWV157+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWV157+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 12:20:24 EST 2010
% Result : Theorem 0.20s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 36 ( 15 unt; 0 def)
% Number of atoms : 146 ( 45 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 161 ( 51 ~; 37 |; 61 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 17 con; 0-3 aty)
% Number of variables : 40 ( 0 sgn 28 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
! [X1,X2] :
( ( leq(X1,X2)
& X1 != X2 )
=> gt(X2,X1) ),
file('/tmp/tmpo_HxYl/sel_SWV157+1.p_1',leq_gt2) ).
fof(22,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/tmp/tmpo_HxYl/sel_SWV157+1.p_1',pred_minus_1) ).
fof(25,axiom,
! [X1,X2] :
( leq(X1,pred(X2))
<=> gt(X2,X1) ),
file('/tmp/tmpo_HxYl/sel_SWV157+1.p_1',leq_gt_pred) ).
fof(68,conjecture,
( ( pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))
& leq(n0,pv10)
& leq(n0,pv47)
& leq(pv10,n135299)
& leq(pv47,n4)
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,pred(pv47)) )
=> a_select3(q,pv10,X5) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X5)),minus(a_select2(x,pv10),a_select2(mu,X5))),tptp_minus_2),times(a_select2(sigma,X5),a_select2(sigma,X5)))),a_select2(rho,X5)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X5))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) )
& ! [X6] :
( ( leq(n0,X6)
& leq(X6,pred(pv10)) )
=> sum(n0,n4,a_select3(q,X6,tptp_sum_index)) = n1 ) )
=> ! [X7] :
( ( leq(n0,X7)
& leq(X7,pv47) )
=> ( pv47 != X7
=> a_select3(q,pv10,X7) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X7)),minus(a_select2(x,pv10),a_select2(mu,X7))),tptp_minus_2),times(a_select2(sigma,X7),a_select2(sigma,X7)))),a_select2(rho,X7)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X7))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ) ) ),
file('/tmp/tmpo_HxYl/sel_SWV157+1.p_1',cl5_nebula_norm_0007) ).
fof(78,negated_conjecture,
~ ( ( pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))
& leq(n0,pv10)
& leq(n0,pv47)
& leq(pv10,n135299)
& leq(pv47,n4)
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,pred(pv47)) )
=> a_select3(q,pv10,X5) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X5)),minus(a_select2(x,pv10),a_select2(mu,X5))),tptp_minus_2),times(a_select2(sigma,X5),a_select2(sigma,X5)))),a_select2(rho,X5)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X5))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) )
& ! [X6] :
( ( leq(n0,X6)
& leq(X6,pred(pv10)) )
=> sum(n0,n4,a_select3(q,X6,tptp_sum_index)) = n1 ) )
=> ! [X7] :
( ( leq(n0,X7)
& leq(X7,pv47) )
=> ( pv47 != X7
=> a_select3(q,pv10,X7) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X7)),minus(a_select2(x,pv10),a_select2(mu,X7))),tptp_minus_2),times(a_select2(sigma,X7),a_select2(sigma,X7)))),a_select2(rho,X7)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X7))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ) ) ),
inference(assume_negation,[status(cth)],[68]) ).
fof(91,plain,
! [X1,X2] :
( ~ leq(X1,X2)
| X1 = X2
| gt(X2,X1) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(92,plain,
! [X3,X4] :
( ~ leq(X3,X4)
| X3 = X4
| gt(X4,X3) ),
inference(variable_rename,[status(thm)],[91]) ).
cnf(93,plain,
( gt(X1,X2)
| X2 = X1
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[92]) ).
fof(128,plain,
! [X2] : minus(X2,n1) = pred(X2),
inference(variable_rename,[status(thm)],[22]) ).
cnf(129,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[128]) ).
fof(136,plain,
! [X1,X2] :
( ( ~ leq(X1,pred(X2))
| gt(X2,X1) )
& ( ~ gt(X2,X1)
| leq(X1,pred(X2)) ) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(137,plain,
! [X3,X4] :
( ( ~ leq(X3,pred(X4))
| gt(X4,X3) )
& ( ~ gt(X4,X3)
| leq(X3,pred(X4)) ) ),
inference(variable_rename,[status(thm)],[136]) ).
cnf(138,plain,
( leq(X1,pred(X2))
| ~ gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[137]) ).
fof(200,negated_conjecture,
( pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))
& leq(n0,pv10)
& leq(n0,pv47)
& leq(pv10,n135299)
& leq(pv47,n4)
& ! [X5] :
( ~ leq(n0,X5)
| ~ leq(X5,pred(pv47))
| a_select3(q,pv10,X5) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X5)),minus(a_select2(x,pv10),a_select2(mu,X5))),tptp_minus_2),times(a_select2(sigma,X5),a_select2(sigma,X5)))),a_select2(rho,X5)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X5))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) )
& ! [X6] :
( ~ leq(n0,X6)
| ~ leq(X6,pred(pv10))
| sum(n0,n4,a_select3(q,X6,tptp_sum_index)) = n1 )
& ? [X7] :
( leq(n0,X7)
& leq(X7,pv47)
& pv47 != X7
& a_select3(q,pv10,X7) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X7)),minus(a_select2(x,pv10),a_select2(mu,X7))),tptp_minus_2),times(a_select2(sigma,X7),a_select2(sigma,X7)))),a_select2(rho,X7)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X7))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ) ),
inference(fof_nnf,[status(thm)],[78]) ).
fof(201,negated_conjecture,
( pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))
& leq(n0,pv10)
& leq(n0,pv47)
& leq(pv10,n135299)
& leq(pv47,n4)
& ! [X8] :
( ~ leq(n0,X8)
| ~ leq(X8,pred(pv47))
| a_select3(q,pv10,X8) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X8)),minus(a_select2(x,pv10),a_select2(mu,X8))),tptp_minus_2),times(a_select2(sigma,X8),a_select2(sigma,X8)))),a_select2(rho,X8)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X8))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) )
& ! [X9] :
( ~ leq(n0,X9)
| ~ leq(X9,pred(pv10))
| sum(n0,n4,a_select3(q,X9,tptp_sum_index)) = n1 )
& ? [X10] :
( leq(n0,X10)
& leq(X10,pv47)
& pv47 != X10
& a_select3(q,pv10,X10) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X10)),minus(a_select2(x,pv10),a_select2(mu,X10))),tptp_minus_2),times(a_select2(sigma,X10),a_select2(sigma,X10)))),a_select2(rho,X10)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X10))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ) ),
inference(variable_rename,[status(thm)],[200]) ).
fof(202,negated_conjecture,
( pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))
& leq(n0,pv10)
& leq(n0,pv47)
& leq(pv10,n135299)
& leq(pv47,n4)
& ! [X8] :
( ~ leq(n0,X8)
| ~ leq(X8,pred(pv47))
| a_select3(q,pv10,X8) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X8)),minus(a_select2(x,pv10),a_select2(mu,X8))),tptp_minus_2),times(a_select2(sigma,X8),a_select2(sigma,X8)))),a_select2(rho,X8)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X8))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) )
& ! [X9] :
( ~ leq(n0,X9)
| ~ leq(X9,pred(pv10))
| sum(n0,n4,a_select3(q,X9,tptp_sum_index)) = n1 )
& leq(n0,esk1_0)
& leq(esk1_0,pv47)
& pv47 != esk1_0
& a_select3(q,pv10,esk1_0) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,esk1_0)),minus(a_select2(x,pv10),a_select2(mu,esk1_0))),tptp_minus_2),times(a_select2(sigma,esk1_0),a_select2(sigma,esk1_0)))),a_select2(rho,esk1_0)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,esk1_0))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ),
inference(skolemize,[status(esa)],[201]) ).
fof(203,negated_conjecture,
! [X8,X9] :
( ( ~ leq(n0,X9)
| ~ leq(X9,pred(pv10))
| sum(n0,n4,a_select3(q,X9,tptp_sum_index)) = n1 )
& ( ~ leq(n0,X8)
| ~ leq(X8,pred(pv47))
| a_select3(q,pv10,X8) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X8)),minus(a_select2(x,pv10),a_select2(mu,X8))),tptp_minus_2),times(a_select2(sigma,X8),a_select2(sigma,X8)))),a_select2(rho,X8)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X8))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) )
& pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))
& leq(n0,pv10)
& leq(n0,pv47)
& leq(pv10,n135299)
& leq(pv47,n4)
& leq(n0,esk1_0)
& leq(esk1_0,pv47)
& pv47 != esk1_0
& a_select3(q,pv10,esk1_0) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,esk1_0)),minus(a_select2(x,pv10),a_select2(mu,esk1_0))),tptp_minus_2),times(a_select2(sigma,esk1_0),a_select2(sigma,esk1_0)))),a_select2(rho,esk1_0)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,esk1_0))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ),
inference(shift_quantors,[status(thm)],[202]) ).
cnf(204,negated_conjecture,
a_select3(q,pv10,esk1_0) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,esk1_0)),minus(a_select2(x,pv10),a_select2(mu,esk1_0))),tptp_minus_2),times(a_select2(sigma,esk1_0),a_select2(sigma,esk1_0)))),a_select2(rho,esk1_0)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,esk1_0))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),
inference(split_conjunct,[status(thm)],[203]) ).
cnf(205,negated_conjecture,
pv47 != esk1_0,
inference(split_conjunct,[status(thm)],[203]) ).
cnf(206,negated_conjecture,
leq(esk1_0,pv47),
inference(split_conjunct,[status(thm)],[203]) ).
cnf(207,negated_conjecture,
leq(n0,esk1_0),
inference(split_conjunct,[status(thm)],[203]) ).
cnf(212,negated_conjecture,
pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))),
inference(split_conjunct,[status(thm)],[203]) ).
cnf(213,negated_conjecture,
( a_select3(q,pv10,X1) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X1)),minus(a_select2(x,pv10),a_select2(mu,X1))),tptp_minus_2),times(a_select2(sigma,X1),a_select2(sigma,X1)))),a_select2(rho,X1)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X1))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))
| ~ leq(X1,pred(pv47))
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[203]) ).
cnf(251,plain,
( leq(X1,minus(X2,n1))
| ~ gt(X2,X1) ),
inference(rw,[status(thm)],[138,129,theory(equality)]),
[unfolding] ).
cnf(253,negated_conjecture,
( divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X1)),minus(a_select2(x,pv10),a_select2(mu,X1))),tptp_minus_2),times(a_select2(sigma,X1),a_select2(sigma,X1)))),a_select2(rho,X1)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X1))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) = a_select3(q,pv10,X1)
| ~ leq(n0,X1)
| ~ leq(X1,minus(pv47,n1)) ),
inference(rw,[status(thm)],[213,129,theory(equality)]),
[unfolding] ).
cnf(301,negated_conjecture,
( pv47 = esk1_0
| gt(pv47,esk1_0) ),
inference(spm,[status(thm)],[93,206,theory(equality)]) ).
cnf(305,negated_conjecture,
gt(pv47,esk1_0),
inference(sr,[status(thm)],[301,205,theory(equality)]) ).
cnf(483,negated_conjecture,
( divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X1)),minus(a_select2(x,pv10),a_select2(mu,X1))),tptp_minus_2),times(a_select2(sigma,X1),a_select2(sigma,X1)))),a_select2(rho,X1)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X1))),pv84) = a_select3(q,pv10,X1)
| ~ leq(n0,X1)
| ~ leq(X1,minus(pv47,n1)) ),
inference(rw,[status(thm)],[253,212,theory(equality)]) ).
cnf(484,negated_conjecture,
divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,esk1_0)),minus(a_select2(x,pv10),a_select2(mu,esk1_0))),tptp_minus_2),times(a_select2(sigma,esk1_0),a_select2(sigma,esk1_0)))),a_select2(rho,esk1_0)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,esk1_0))),pv84) != a_select3(q,pv10,esk1_0),
inference(rw,[status(thm)],[204,212,theory(equality)]) ).
cnf(485,negated_conjecture,
( ~ leq(esk1_0,minus(pv47,n1))
| ~ leq(n0,esk1_0) ),
inference(spm,[status(thm)],[484,483,theory(equality)]) ).
cnf(486,negated_conjecture,
( ~ leq(esk1_0,minus(pv47,n1))
| $false ),
inference(rw,[status(thm)],[485,207,theory(equality)]) ).
cnf(487,negated_conjecture,
~ leq(esk1_0,minus(pv47,n1)),
inference(cn,[status(thm)],[486,theory(equality)]) ).
cnf(491,negated_conjecture,
~ gt(pv47,esk1_0),
inference(spm,[status(thm)],[487,251,theory(equality)]) ).
cnf(492,negated_conjecture,
$false,
inference(rw,[status(thm)],[491,305,theory(equality)]) ).
cnf(493,negated_conjecture,
$false,
inference(cn,[status(thm)],[492,theory(equality)]) ).
cnf(494,negated_conjecture,
$false,
493,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV157+1.p
% --creating new selector for [SWV003+0.ax]
% -running prover on /tmp/tmpo_HxYl/sel_SWV157+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV157+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV157+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV157+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
%
%------------------------------------------------------------------------------