TSTP Solution File: SWV157+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV157+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:44:21 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 152 ( 50 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 173 ( 49 ~; 29 |; 76 &)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 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 : 39 ( 35 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f248,plain,
$false,
inference(subsumption_resolution,[],[f247,f243]) ).
fof(f243,plain,
leq(sK1,pred(pv47)),
inference(unit_resulting_resolution,[],[f226,f155]) ).
fof(f155,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ( gt(X1,X0)
| ~ leq(X0,pred(X1)) )
& ( leq(X0,pred(X1))
| ~ gt(X1,X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( gt(X1,X0)
<=> leq(X0,pred(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f226,plain,
gt(pv47,sK1),
inference(unit_resulting_resolution,[],[f197,f198,f174]) ).
fof(f174,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| gt(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( X0 = X1
| gt(X0,X1)
| ~ leq(X1,X0) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X1,X0] :
( gt(X0,X1)
| ~ leq(X1,X0)
| X0 = X1 ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X1,X0] :
( ( leq(X1,X0)
& X0 != X1 )
=> gt(X0,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( ( leq(X0,X1)
& X0 != X1 )
=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt2) ).
fof(f198,plain,
pv47 != sK1,
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( leq(n0,pv10)
& leq(pv47,n4)
& pv47 != sK1
& leq(sK1,pv47)
& leq(n0,sK1)
& a_select3(q,pv10,sK1) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK1)),minus(a_select2(x,pv10),a_select2(mu,sK1))),tptp_minus_2),times(a_select2(sigma,sK1),a_select2(sigma,sK1)))),a_select2(rho,sK1)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK1))),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)))))
& ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,pred(pv47))
| 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) )
& 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(pv10,n135299)
& leq(n0,pv47)
& ! [X2] :
( n1 = sum(n0,n4,a_select3(q,X2,tptp_sum_index))
| ~ leq(n0,X2)
| ~ leq(X2,pred(pv10)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f144,f145]) ).
fof(f145,plain,
( ? [X0] :
( pv47 != X0
& leq(X0,pv47)
& leq(n0,X0)
& a_select3(q,pv10,X0) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X0)),minus(a_select2(x,pv10),a_select2(mu,X0))),tptp_minus_2),times(a_select2(sigma,X0),a_select2(sigma,X0)))),a_select2(rho,X0)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X0))),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))))) )
=> ( pv47 != sK1
& leq(sK1,pv47)
& leq(n0,sK1)
& a_select3(q,pv10,sK1) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK1)),minus(a_select2(x,pv10),a_select2(mu,sK1))),tptp_minus_2),times(a_select2(sigma,sK1),a_select2(sigma,sK1)))),a_select2(rho,sK1)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK1))),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))))) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
( leq(n0,pv10)
& leq(pv47,n4)
& ? [X0] :
( pv47 != X0
& leq(X0,pv47)
& leq(n0,X0)
& a_select3(q,pv10,X0) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X0)),minus(a_select2(x,pv10),a_select2(mu,X0))),tptp_minus_2),times(a_select2(sigma,X0),a_select2(sigma,X0)))),a_select2(rho,X0)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X0))),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))))) )
& ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,pred(pv47))
| 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) )
& 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(pv10,n135299)
& leq(n0,pv47)
& ! [X2] :
( n1 = sum(n0,n4,a_select3(q,X2,tptp_sum_index))
| ~ leq(n0,X2)
| ~ leq(X2,pred(pv10)) ) ),
inference(rectify,[],[f128]) ).
fof(f128,plain,
( leq(n0,pv10)
& leq(pv47,n4)
& ? [X2] :
( pv47 != X2
& leq(X2,pv47)
& leq(n0,X2)
& a_select3(q,pv10,X2) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X2)),minus(a_select2(x,pv10),a_select2(mu,X2))),tptp_minus_2),times(a_select2(sigma,X2),a_select2(sigma,X2)))),a_select2(rho,X2)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X2))),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))))) )
& ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,pred(pv47))
| a_select3(q,pv10,X0) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X0)),minus(a_select2(x,pv10),a_select2(mu,X0))),tptp_minus_2),times(a_select2(sigma,X0),a_select2(sigma,X0)))),a_select2(rho,X0)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X0))),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(pv10,n135299)
& leq(n0,pv47)
& ! [X1] :
( n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
| ~ leq(n0,X1)
| ~ leq(X1,pred(pv10)) ) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
( ? [X2] :
( a_select3(q,pv10,X2) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X2)),minus(a_select2(x,pv10),a_select2(mu,X2))),tptp_minus_2),times(a_select2(sigma,X2),a_select2(sigma,X2)))),a_select2(rho,X2)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X2))),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)))))
& pv47 != X2
& leq(n0,X2)
& leq(X2,pv47) )
& 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(pv10,n135299)
& ! [X0] :
( a_select3(q,pv10,X0) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X0)),minus(a_select2(x,pv10),a_select2(mu,X0))),tptp_minus_2),times(a_select2(sigma,X0),a_select2(sigma,X0)))),a_select2(rho,X0)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X0))),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,X0)
| ~ leq(X0,pred(pv47)) )
& leq(n0,pv47)
& leq(pv47,n4)
& ! [X1] :
( n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
| ~ leq(n0,X1)
| ~ leq(X1,pred(pv10)) ) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
~ ( ( 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(pv10,n135299)
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,pred(pv47)) )
=> a_select3(q,pv10,X0) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X0)),minus(a_select2(x,pv10),a_select2(mu,X0))),tptp_minus_2),times(a_select2(sigma,X0),a_select2(sigma,X0)))),a_select2(rho,X0)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X0))),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,pv47)
& leq(pv47,n4)
& ! [X1] :
( ( leq(n0,X1)
& leq(X1,pred(pv10)) )
=> n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index)) ) )
=> ! [X2] :
( ( leq(n0,X2)
& leq(X2,pv47) )
=> ( pv47 != X2
=> a_select3(q,pv10,X2) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X2)),minus(a_select2(x,pv10),a_select2(mu,X2))),tptp_minus_2),times(a_select2(sigma,X2),a_select2(sigma,X2)))),a_select2(rho,X2)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X2))),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(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv47)
& 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)
& ! [X13] :
( ( leq(X13,pred(pv47))
& leq(n0,X13) )
=> a_select3(q,pv10,X13) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X13)),minus(a_select2(x,pv10),a_select2(mu,X13))),tptp_minus_2),times(a_select2(sigma,X13),a_select2(sigma,X13)))),a_select2(rho,X13)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X13))),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(pv47,n4)
& ! [X17] :
( ( leq(X17,pred(pv10))
& leq(n0,X17) )
=> n1 = sum(n0,n4,a_select3(q,X17,tptp_sum_index)) )
& leq(pv10,n135299) )
=> ! [X3] :
( ( leq(X3,pv47)
& leq(n0,X3) )
=> ( pv47 != X3
=> a_select3(q,pv10,X3) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X3)),minus(a_select2(x,pv10),a_select2(mu,X3))),tptp_minus_2),times(a_select2(sigma,X3),a_select2(sigma,X3)))),a_select2(rho,X3)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X3))),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(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(n0,pv47)
& 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)
& ! [X13] :
( ( leq(X13,pred(pv47))
& leq(n0,X13) )
=> a_select3(q,pv10,X13) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X13)),minus(a_select2(x,pv10),a_select2(mu,X13))),tptp_minus_2),times(a_select2(sigma,X13),a_select2(sigma,X13)))),a_select2(rho,X13)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X13))),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(pv47,n4)
& ! [X17] :
( ( leq(X17,pred(pv10))
& leq(n0,X17) )
=> n1 = sum(n0,n4,a_select3(q,X17,tptp_sum_index)) )
& leq(pv10,n135299) )
=> ! [X3] :
( ( leq(X3,pv47)
& leq(n0,X3) )
=> ( pv47 != X3
=> a_select3(q,pv10,X3) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X3)),minus(a_select2(x,pv10),a_select2(mu,X3))),tptp_minus_2),times(a_select2(sigma,X3),a_select2(sigma,X3)))),a_select2(rho,X3)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X3))),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('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0007) ).
fof(f197,plain,
leq(sK1,pv47),
inference(cnf_transformation,[],[f146]) ).
fof(f247,plain,
~ leq(sK1,pred(pv47)),
inference(unit_resulting_resolution,[],[f196,f206,f207]) ).
fof(f207,plain,
! [X1] :
( ~ leq(X1,pred(pv47))
| 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) ),
inference(backward_demodulation,[],[f194,f193]) ).
fof(f193,plain,
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(cnf_transformation,[],[f146]) ).
fof(f194,plain,
! [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))))) = a_select3(q,pv10,X1)
| ~ leq(n0,X1)
| ~ leq(X1,pred(pv47)) ),
inference(cnf_transformation,[],[f146]) ).
fof(f206,plain,
a_select3(q,pv10,sK1) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK1)),minus(a_select2(x,pv10),a_select2(mu,sK1))),tptp_minus_2),times(a_select2(sigma,sK1),a_select2(sigma,sK1)))),a_select2(rho,sK1)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK1))),pv84),
inference(backward_demodulation,[],[f195,f193]) ).
fof(f195,plain,
a_select3(q,pv10,sK1) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK1)),minus(a_select2(x,pv10),a_select2(mu,sK1))),tptp_minus_2),times(a_select2(sigma,sK1),a_select2(sigma,sK1)))),a_select2(rho,sK1)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK1))),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(cnf_transformation,[],[f146]) ).
fof(f196,plain,
leq(n0,sK1),
inference(cnf_transformation,[],[f146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV157+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 19:00:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50 % (20230)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.52 % (20243)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.52 % (20224)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52 % (20246)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (20234)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (20234)Instruction limit reached!
% 0.20/0.52 % (20234)------------------------------
% 0.20/0.52 % (20234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (20234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (20234)Termination reason: Unknown
% 0.20/0.52 % (20234)Termination phase: Naming
% 0.20/0.52
% 0.20/0.52 % (20234)Memory used [KB]: 1535
% 0.20/0.52 % (20234)Time elapsed: 0.004 s
% 0.20/0.52 % (20234)Instructions burned: 3 (million)
% 0.20/0.52 % (20234)------------------------------
% 0.20/0.52 % (20234)------------------------------
% 0.20/0.52 % (20238)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (20226)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (20220)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53 % (20249)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.53 % (20227)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (20222)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (20222)Instruction limit reached!
% 0.20/0.53 % (20222)------------------------------
% 0.20/0.53 % (20222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (20222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (20222)Termination reason: Unknown
% 0.20/0.53 % (20222)Termination phase: Preprocessing 3
% 0.20/0.53
% 0.20/0.53 % (20222)Memory used [KB]: 1535
% 0.20/0.53 % (20222)Time elapsed: 0.003 s
% 0.20/0.53 % (20222)Instructions burned: 4 (million)
% 0.20/0.53 % (20222)------------------------------
% 0.20/0.53 % (20222)------------------------------
% 0.20/0.53 % (20229)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.53 % (20241)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (20238)Instruction limit reached!
% 0.20/0.53 % (20238)------------------------------
% 0.20/0.53 % (20238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (20238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (20238)Termination reason: Unknown
% 0.20/0.53 % (20238)Termination phase: Preprocessing 3
% 0.20/0.53
% 0.20/0.53 % (20238)Memory used [KB]: 1535
% 0.20/0.53 % (20238)Time elapsed: 0.005 s
% 0.20/0.53 % (20238)Instructions burned: 3 (million)
% 0.20/0.53 % (20238)------------------------------
% 0.20/0.53 % (20238)------------------------------
% 0.20/0.53 % (20230)Instruction limit reached!
% 0.20/0.53 % (20230)------------------------------
% 0.20/0.53 % (20230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (20230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (20230)Termination reason: Unknown
% 0.20/0.53 % (20230)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (20230)Memory used [KB]: 6140
% 0.20/0.53 % (20230)Time elapsed: 0.110 s
% 0.20/0.53 % (20230)Instructions burned: 12 (million)
% 0.20/0.53 % (20230)------------------------------
% 0.20/0.53 % (20230)------------------------------
% 0.20/0.54 % (20228)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.54 % (20239)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.54 % (20240)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.54 % (20244)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (20223)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (20224)Instruction limit reached!
% 0.20/0.54 % (20224)------------------------------
% 0.20/0.54 % (20224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (20224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (20224)Termination reason: Unknown
% 0.20/0.54 % (20224)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (20224)Memory used [KB]: 6268
% 0.20/0.54 % (20224)Time elapsed: 0.145 s
% 0.20/0.54 % (20224)Instructions burned: 13 (million)
% 0.20/0.54 % (20224)------------------------------
% 0.20/0.54 % (20224)------------------------------
% 0.20/0.54 % (20221)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.54 % (20231)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (20245)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.55 % (20223)First to succeed.
% 0.20/0.55 % (20233)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (20247)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.55 % (20221)Instruction limit reached!
% 0.20/0.55 % (20221)------------------------------
% 0.20/0.55 % (20221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (20221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (20221)Termination reason: Unknown
% 0.20/0.55 % (20221)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (20221)Memory used [KB]: 1791
% 0.20/0.55 % (20221)Time elapsed: 0.007 s
% 0.20/0.55 % (20221)Instructions burned: 13 (million)
% 0.20/0.55 % (20221)------------------------------
% 0.20/0.55 % (20221)------------------------------
% 0.20/0.55 % (20237)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.55 % (20237)Instruction limit reached!
% 0.20/0.55 % (20237)------------------------------
% 0.20/0.55 % (20237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (20237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (20237)Termination reason: Unknown
% 0.20/0.55 % (20237)Termination phase: Preprocessing 3
% 0.20/0.55
% 0.20/0.55 % (20237)Memory used [KB]: 1535
% 0.20/0.55 % (20237)Time elapsed: 0.003 s
% 0.20/0.55 % (20237)Instructions burned: 3 (million)
% 0.20/0.55 % (20237)------------------------------
% 0.20/0.55 % (20237)------------------------------
% 0.20/0.55 % (20232)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.55 % (20225)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.55 % (20248)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.55 % (20235)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (20242)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.56 % (20236)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56 % (20248)Instruction limit reached!
% 0.20/0.56 % (20248)------------------------------
% 0.20/0.56 % (20248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (20248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (20235)Instruction limit reached!
% 0.20/0.56 % (20235)------------------------------
% 0.20/0.56 % (20235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (20248)Termination reason: Unknown
% 0.20/0.56 % (20248)Termination phase: Function definition elimination
% 0.20/0.56
% 0.20/0.56 % (20235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (20235)Termination reason: Unknown
% 0.20/0.56 % (20248)Memory used [KB]: 1663
% 0.20/0.56 % (20235)Termination phase: Property scanning
% 0.20/0.56
% 0.20/0.56 % (20248)Time elapsed: 0.005 s
% 0.20/0.56 % (20248)Instructions burned: 8 (million)
% 0.20/0.56 % (20248)------------------------------
% 0.20/0.56 % (20248)------------------------------
% 0.20/0.56 % (20235)Memory used [KB]: 1663
% 0.20/0.56 % (20235)Time elapsed: 0.004 s
% 0.20/0.56 % (20235)Instructions burned: 7 (million)
% 0.20/0.56 % (20235)------------------------------
% 0.20/0.56 % (20235)------------------------------
% 0.20/0.56 % (20231)Instruction limit reached!
% 0.20/0.56 % (20231)------------------------------
% 0.20/0.56 % (20231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (20231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (20231)Termination reason: Unknown
% 0.20/0.56 % (20231)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (20231)Memory used [KB]: 6140
% 0.20/0.56 % (20231)Time elapsed: 0.005 s
% 0.20/0.56 % (20231)Instructions burned: 7 (million)
% 0.20/0.56 % (20231)------------------------------
% 0.20/0.56 % (20231)------------------------------
% 0.20/0.57 % (20223)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (20223)------------------------------
% 0.20/0.57 % (20223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (20223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (20223)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (20223)Memory used [KB]: 6396
% 0.20/0.57 % (20223)Time elapsed: 0.141 s
% 0.20/0.57 % (20223)Instructions burned: 8 (million)
% 0.20/0.57 % (20223)------------------------------
% 0.20/0.57 % (20223)------------------------------
% 0.20/0.57 % (20219)Success in time 0.212 s
%------------------------------------------------------------------------------