TSTP Solution File: SWV157+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n022.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 18:55:40 EDT 2022
% Result : Theorem 2.18s 0.64s
% Output : Refutation 2.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 36
% Syntax : Number of formulae : 83 ( 60 unt; 0 def)
% Number of atoms : 214 ( 104 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 185 ( 54 ~; 36 |; 76 &)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 57 ( 57 usr; 48 con; 0-3 aty)
% Number of variables : 45 ( 41 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1435,plain,
$false,
inference(subsumption_resolution,[],[f1434,f486]) ).
fof(f486,plain,
sF61 != sF62,
inference(definition_folding,[],[f406,f485,f484,f469,f468,f467,f461,f456,f455,f466,f465,f464,f463,f462,f461,f461,f460,f459,f458,f457,f454,f458,f457,f454,f483,f482,f476,f456,f455,f481,f480,f479,f478,f477,f476,f476,f475,f474,f473,f472,f454,f473,f472,f454]) ).
fof(f472,plain,
sF49 = a_select2(mu,sK28),
introduced(function_definition,[]) ).
fof(f473,plain,
sF50 = minus(sF32,sF49),
introduced(function_definition,[]) ).
fof(f474,plain,
sF51 = times(sF50,sF50),
introduced(function_definition,[]) ).
fof(f475,plain,
divide(sF51,tptp_minus_2) = sF52,
introduced(function_definition,[]) ).
fof(f477,plain,
times(sF53,sF53) = sF54,
introduced(function_definition,[]) ).
fof(f478,plain,
sF55 = divide(sF52,sF54),
introduced(function_definition,[]) ).
fof(f479,plain,
exp(sF55) = sF56,
introduced(function_definition,[]) ).
fof(f480,plain,
a_select2(rho,sK28) = sF57,
introduced(function_definition,[]) ).
fof(f481,plain,
times(sF56,sF57) = sF58,
introduced(function_definition,[]) ).
fof(f476,plain,
a_select2(sigma,sK28) = sF53,
introduced(function_definition,[]) ).
fof(f482,plain,
times(sF34,sF53) = sF59,
introduced(function_definition,[]) ).
fof(f483,plain,
sF60 = divide(sF58,sF59),
introduced(function_definition,[]) ).
fof(f454,plain,
a_select2(x,pv10) = sF32,
introduced(function_definition,[]) ).
fof(f457,plain,
a_select2(mu,tptp_sum_index) = sF35,
introduced(function_definition,[]) ).
fof(f458,plain,
sF36 = minus(sF32,sF35),
introduced(function_definition,[]) ).
fof(f459,plain,
times(sF36,sF36) = sF37,
introduced(function_definition,[]) ).
fof(f460,plain,
divide(sF37,tptp_minus_2) = sF38,
introduced(function_definition,[]) ).
fof(f462,plain,
times(sF39,sF39) = sF40,
introduced(function_definition,[]) ).
fof(f463,plain,
divide(sF38,sF40) = sF41,
introduced(function_definition,[]) ).
fof(f464,plain,
sF42 = exp(sF41),
introduced(function_definition,[]) ).
fof(f465,plain,
a_select2(rho,tptp_sum_index) = sF43,
introduced(function_definition,[]) ).
fof(f466,plain,
times(sF42,sF43) = sF44,
introduced(function_definition,[]) ).
fof(f455,plain,
times(n2,tptp_pi) = sF33,
introduced(function_definition,[]) ).
fof(f456,plain,
sqrt(sF33) = sF34,
introduced(function_definition,[]) ).
fof(f461,plain,
a_select2(sigma,tptp_sum_index) = sF39,
introduced(function_definition,[]) ).
fof(f467,plain,
times(sF34,sF39) = sF45,
introduced(function_definition,[]) ).
fof(f468,plain,
sF46 = divide(sF44,sF45),
introduced(function_definition,[]) ).
fof(f469,plain,
sum(n0,n4,sF46) = sF47,
introduced(function_definition,[]) ).
fof(f484,plain,
sF61 = divide(sF60,sF47),
introduced(function_definition,[]) ).
fof(f485,plain,
a_select3(q,pv10,sK28) = sF62,
introduced(function_definition,[]) ).
fof(f406,plain,
divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK28)),minus(a_select2(x,pv10),a_select2(mu,sK28))),tptp_minus_2),times(a_select2(sigma,sK28),a_select2(sigma,sK28)))),a_select2(rho,sK28)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK28))),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,sK28),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
( ! [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))))) = a_select3(q,pv10,X0)
| ~ leq(X0,pred(pv47))
| ~ leq(n0,X0) )
& leq(sK28,pv47)
& pv47 != sK28
& divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK28)),minus(a_select2(x,pv10),a_select2(mu,sK28))),tptp_minus_2),times(a_select2(sigma,sK28),a_select2(sigma,sK28)))),a_select2(rho,sK28)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK28))),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,sK28)
& leq(n0,sK28)
& ! [X2] :
( ~ leq(X2,pred(pv10))
| n1 = sum(n0,n4,a_select3(q,X2,tptp_sum_index))
| ~ leq(n0,X2) )
& leq(pv47,n4)
& leq(n0,pv10)
& 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) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f245,f246]) ).
fof(f246,plain,
( ? [X1] :
( leq(X1,pv47)
& pv47 != 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(sK28,pv47)
& pv47 != sK28
& divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK28)),minus(a_select2(x,pv10),a_select2(mu,sK28))),tptp_minus_2),times(a_select2(sigma,sK28),a_select2(sigma,sK28)))),a_select2(rho,sK28)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK28))),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,sK28)
& leq(n0,sK28) ) ),
introduced(choice_axiom,[]) ).
fof(f245,plain,
( ! [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))))) = a_select3(q,pv10,X0)
| ~ leq(X0,pred(pv47))
| ~ leq(n0,X0) )
& ? [X1] :
( leq(X1,pv47)
& pv47 != 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) )
& ! [X2] :
( ~ leq(X2,pred(pv10))
| n1 = sum(n0,n4,a_select3(q,X2,tptp_sum_index))
| ~ leq(n0,X2) )
& leq(pv47,n4)
& leq(n0,pv10)
& 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) ),
inference(rectify,[],[f148]) ).
fof(f148,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(X1,pred(pv47))
| ~ leq(n0,X1) )
& ? [X2] :
( leq(X2,pv47)
& pv47 != 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))))) != a_select3(q,pv10,X2)
& leq(n0,X2) )
& ! [X0] :
( ~ leq(X0,pred(pv10))
| n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index))
| ~ leq(n0,X0) )
& leq(pv47,n4)
& leq(n0,pv10)
& 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) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
( ? [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))))) != a_select3(q,pv10,X2)
& pv47 != X2
& leq(n0,X2)
& leq(X2,pv47) )
& 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(pv47,n4)
& ! [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)) )
& leq(n0,pv10)
& ! [X0] :
( n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index))
| ~ leq(X0,pred(pv10))
| ~ leq(n0,X0) )
& leq(pv10,n135299) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
~ ( ( 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(pv47,n4)
& ! [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) )
& leq(n0,pv10)
& ! [X0] :
( ( leq(X0,pred(pv10))
& leq(n0,X0) )
=> n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index)) )
& leq(pv10,n135299) )
=> ! [X2] :
( ( leq(n0,X2)
& leq(X2,pv47) )
=> ( pv47 != 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))))) = a_select3(q,pv10,X2) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv10,n135299)
& 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(pv47,n4)
& leq(n0,pv47)
& ! [X17] :
( ( leq(n0,X17)
& leq(X17,pred(pv10)) )
=> n1 = sum(n0,n4,a_select3(q,X17,tptp_sum_index)) )
& leq(n0,pv10)
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,pred(pv47)) )
=> 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))))) ) )
=> ! [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(pv10,n135299)
& 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(pv47,n4)
& leq(n0,pv47)
& ! [X17] :
( ( leq(n0,X17)
& leq(X17,pred(pv10)) )
=> n1 = sum(n0,n4,a_select3(q,X17,tptp_sum_index)) )
& leq(n0,pv10)
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,pred(pv47)) )
=> 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))))) ) )
=> ! [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(f1434,plain,
sF61 = sF62,
inference(forward_demodulation,[],[f1433,f507]) ).
fof(f507,plain,
divide(sF60,pv84) = sF61,
inference(forward_demodulation,[],[f484,f489]) ).
fof(f489,plain,
pv84 = sF47,
inference(definition_folding,[],[f401,f469,f468,f467,f461,f456,f455,f466,f465,f464,f463,f462,f461,f461,f460,f459,f458,f457,f454,f458,f457,f454]) ).
fof(f401,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,[],[f247]) ).
fof(f1433,plain,
divide(sF60,pv84) = sF62,
inference(forward_demodulation,[],[f1432,f483]) ).
fof(f1432,plain,
sF62 = divide(divide(sF58,sF59),pv84),
inference(forward_demodulation,[],[f1431,f481]) ).
fof(f1431,plain,
sF62 = divide(divide(times(sF56,sF57),sF59),pv84),
inference(forward_demodulation,[],[f1430,f479]) ).
fof(f1430,plain,
divide(divide(times(exp(sF55),sF57),sF59),pv84) = sF62,
inference(forward_demodulation,[],[f1429,f478]) ).
fof(f1429,plain,
sF62 = divide(divide(times(exp(divide(sF52,sF54)),sF57),sF59),pv84),
inference(forward_demodulation,[],[f1428,f475]) ).
fof(f1428,plain,
divide(divide(times(exp(divide(divide(sF51,tptp_minus_2),sF54)),sF57),sF59),pv84) = sF62,
inference(forward_demodulation,[],[f1427,f485]) ).
fof(f1427,plain,
divide(divide(times(exp(divide(divide(sF51,tptp_minus_2),sF54)),sF57),sF59),pv84) = a_select3(q,pv10,sK28),
inference(forward_demodulation,[],[f1426,f474]) ).
fof(f1426,plain,
a_select3(q,pv10,sK28) = divide(divide(times(exp(divide(divide(times(sF50,sF50),tptp_minus_2),sF54)),sF57),sF59),pv84),
inference(forward_demodulation,[],[f1425,f473]) ).
fof(f1425,plain,
a_select3(q,pv10,sK28) = divide(divide(times(exp(divide(divide(times(minus(sF32,sF49),minus(sF32,sF49)),tptp_minus_2),sF54)),sF57),sF59),pv84),
inference(forward_demodulation,[],[f1424,f472]) ).
fof(f1424,plain,
a_select3(q,pv10,sK28) = divide(divide(times(exp(divide(divide(times(minus(sF32,a_select2(mu,sK28)),minus(sF32,a_select2(mu,sK28))),tptp_minus_2),sF54)),sF57),sF59),pv84),
inference(forward_demodulation,[],[f1423,f477]) ).
fof(f1423,plain,
a_select3(q,pv10,sK28) = divide(divide(times(exp(divide(divide(times(minus(sF32,a_select2(mu,sK28)),minus(sF32,a_select2(mu,sK28))),tptp_minus_2),times(sF53,sF53))),sF57),sF59),pv84),
inference(forward_demodulation,[],[f1422,f480]) ).
fof(f1422,plain,
a_select3(q,pv10,sK28) = divide(divide(times(exp(divide(divide(times(minus(sF32,a_select2(mu,sK28)),minus(sF32,a_select2(mu,sK28))),tptp_minus_2),times(sF53,sF53))),a_select2(rho,sK28)),sF59),pv84),
inference(forward_demodulation,[],[f1421,f482]) ).
fof(f1421,plain,
a_select3(q,pv10,sK28) = divide(divide(times(exp(divide(divide(times(minus(sF32,a_select2(mu,sK28)),minus(sF32,a_select2(mu,sK28))),tptp_minus_2),times(sF53,sF53))),a_select2(rho,sK28)),times(sF34,sF53)),pv84),
inference(forward_demodulation,[],[f1420,f476]) ).
fof(f1420,plain,
a_select3(q,pv10,sK28) = divide(divide(times(exp(divide(divide(times(minus(sF32,a_select2(mu,sK28)),minus(sF32,a_select2(mu,sK28))),tptp_minus_2),times(a_select2(sigma,sK28),a_select2(sigma,sK28)))),a_select2(rho,sK28)),times(sF34,a_select2(sigma,sK28))),pv84),
inference(subsumption_resolution,[],[f1417,f405]) ).
fof(f405,plain,
leq(n0,sK28),
inference(cnf_transformation,[],[f247]) ).
fof(f1417,plain,
( ~ leq(n0,sK28)
| a_select3(q,pv10,sK28) = divide(divide(times(exp(divide(divide(times(minus(sF32,a_select2(mu,sK28)),minus(sF32,a_select2(mu,sK28))),tptp_minus_2),times(a_select2(sigma,sK28),a_select2(sigma,sK28)))),a_select2(rho,sK28)),times(sF34,a_select2(sigma,sK28))),pv84) ),
inference(resolution,[],[f1021,f504]) ).
fof(f504,plain,
! [X0] :
( ~ leq(X0,sF48)
| divide(divide(times(exp(divide(divide(times(minus(sF32,a_select2(mu,X0)),minus(sF32,a_select2(mu,X0))),tptp_minus_2),times(a_select2(sigma,X0),a_select2(sigma,X0)))),a_select2(rho,X0)),times(sF34,a_select2(sigma,X0))),pv84) = a_select3(q,pv10,X0)
| ~ leq(n0,X0) ),
inference(backward_demodulation,[],[f471,f489]) ).
fof(f471,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,sF48)
| divide(divide(times(exp(divide(divide(times(minus(sF32,a_select2(mu,X0)),minus(sF32,a_select2(mu,X0))),tptp_minus_2),times(a_select2(sigma,X0),a_select2(sigma,X0)))),a_select2(rho,X0)),times(sF34,a_select2(sigma,X0))),sF47) = a_select3(q,pv10,X0) ),
inference(definition_folding,[],[f448,f470,f469,f468,f467,f461,f456,f455,f466,f465,f464,f463,f462,f461,f461,f460,f459,f458,f457,f454,f458,f457,f454,f456,f455,f454,f454]) ).
fof(f470,plain,
sF48 = minus(pv47,n1),
introduced(function_definition,[]) ).
fof(f448,plain,
! [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))))) = a_select3(q,pv10,X0)
| ~ leq(X0,minus(pv47,n1))
| ~ leq(n0,X0) ),
inference(definition_unfolding,[],[f409,f283]) ).
fof(f283,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f409,plain,
! [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))))) = a_select3(q,pv10,X0)
| ~ leq(X0,pred(pv47))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1021,plain,
leq(sK28,sF48),
inference(backward_demodulation,[],[f946,f470]) ).
fof(f946,plain,
leq(sK28,minus(pv47,n1)),
inference(resolution,[],[f763,f438]) ).
fof(f438,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,minus(X1,n1)) ),
inference(definition_unfolding,[],[f345,f283]) ).
fof(f345,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f763,plain,
gt(pv47,sK28),
inference(subsumption_resolution,[],[f753,f407]) ).
fof(f407,plain,
pv47 != sK28,
inference(cnf_transformation,[],[f247]) ).
fof(f753,plain,
( gt(pv47,sK28)
| pv47 = sK28 ),
inference(resolution,[],[f392,f408]) ).
fof(f408,plain,
leq(sK28,pv47),
inference(cnf_transformation,[],[f247]) ).
fof(f392,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| gt(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1] :
( X0 = X1
| gt(X0,X1)
| ~ leq(X1,X0) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X1,X0] :
( gt(X0,X1)
| ~ leq(X1,X0)
| X0 = X1 ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV157+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 19:05:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.50 % (23424)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.50 % (23403)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50 % (23417)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.50 % (23416)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.50 % (23409)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (23419)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.51 % (23411)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (23427)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.52 % (23425)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.52 % (23409)Instruction limit reached!
% 0.18/0.52 % (23409)------------------------------
% 0.18/0.52 % (23409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (23409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (23409)Termination reason: Unknown
% 0.18/0.52 % (23409)Termination phase: shuffling
% 0.18/0.52
% 0.18/0.52 % (23409)Memory used [KB]: 1151
% 0.18/0.52 % (23409)Time elapsed: 0.006 s
% 0.18/0.52 % (23409)Instructions burned: 8 (million)
% 0.18/0.52 % (23409)------------------------------
% 0.18/0.52 % (23409)------------------------------
% 0.18/0.52 % (23405)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (23406)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (23404)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.53 % (23407)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.53 % (23415)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53 % (23429)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.53 % (23420)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53 % (23430)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53 % (23402)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.54 % (23422)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.54 % (23421)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54 % (23432)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.54 % (23428)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.54 % (23413)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54 % (23414)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.54 % (23408)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.54 % (23423)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.54 % (23412)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.55 % (23426)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.56 % (23410)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.56 % (23418)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.56 % (23403)Instruction limit reached!
% 0.18/0.56 % (23403)------------------------------
% 0.18/0.56 % (23403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (23403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (23403)Termination reason: Unknown
% 0.18/0.56 % (23403)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (23403)Memory used [KB]: 6268
% 0.18/0.56 % (23403)Time elapsed: 0.135 s
% 0.18/0.56 % (23403)Instructions burned: 50 (million)
% 0.18/0.56 % (23403)------------------------------
% 0.18/0.56 % (23403)------------------------------
% 0.18/0.58 % (23410)Instruction limit reached!
% 0.18/0.58 % (23410)------------------------------
% 0.18/0.58 % (23410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58 % (23410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58 % (23410)Termination reason: Unknown
% 0.18/0.58 % (23410)Termination phase: Preprocessing 1
% 0.18/0.58
% 0.18/0.58 % (23410)Memory used [KB]: 1023
% 0.18/0.58 % (23410)Time elapsed: 0.002 s
% 0.18/0.58 % (23410)Instructions burned: 2 (million)
% 0.18/0.58 % (23410)------------------------------
% 0.18/0.58 % (23410)------------------------------
% 1.78/0.58 % (23404)Instruction limit reached!
% 1.78/0.58 % (23404)------------------------------
% 1.78/0.58 % (23404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.58 % (23404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.58 % (23404)Termination reason: Unknown
% 1.78/0.58 % (23404)Termination phase: Saturation
% 1.78/0.58
% 1.78/0.58 % (23404)Memory used [KB]: 1791
% 1.78/0.58 % (23404)Time elapsed: 0.184 s
% 1.78/0.58 % (23404)Instructions burned: 39 (million)
% 1.78/0.58 % (23404)------------------------------
% 1.78/0.58 % (23404)------------------------------
% 1.78/0.59 % (23416)Instruction limit reached!
% 1.78/0.59 % (23416)------------------------------
% 1.78/0.59 % (23416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.59 % (23416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.59 % (23416)Termination reason: Unknown
% 1.78/0.59 % (23416)Termination phase: Saturation
% 1.78/0.59
% 1.78/0.59 % (23416)Memory used [KB]: 6908
% 1.78/0.59 % (23416)Time elapsed: 0.042 s
% 1.78/0.59 % (23416)Instructions burned: 69 (million)
% 1.78/0.59 % (23416)------------------------------
% 1.78/0.59 % (23416)------------------------------
% 1.89/0.60 % (23411)Instruction limit reached!
% 1.89/0.60 % (23411)------------------------------
% 1.89/0.60 % (23411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60 % (23411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60 % (23411)Termination reason: Unknown
% 1.89/0.60 % (23411)Termination phase: Saturation
% 1.89/0.60
% 1.89/0.60 % (23411)Memory used [KB]: 1791
% 1.89/0.60 % (23411)Time elapsed: 0.191 s
% 1.89/0.60 % (23411)Instructions burned: 51 (million)
% 1.89/0.60 % (23411)------------------------------
% 1.89/0.60 % (23411)------------------------------
% 1.89/0.61 % (23417)Instruction limit reached!
% 1.89/0.61 % (23417)------------------------------
% 1.89/0.61 % (23417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61 % (23417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.61 % (23417)Termination reason: Unknown
% 1.89/0.61 % (23417)Termination phase: Saturation
% 1.89/0.61
% 1.89/0.61 % (23417)Memory used [KB]: 2302
% 1.89/0.61 % (23417)Time elapsed: 0.203 s
% 1.89/0.61 % (23417)Instructions burned: 75 (million)
% 1.89/0.61 % (23417)------------------------------
% 1.89/0.61 % (23417)------------------------------
% 1.89/0.61 % (23405)Instruction limit reached!
% 1.89/0.61 % (23405)------------------------------
% 1.89/0.61 % (23405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61 % (23405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.61 % (23405)Termination reason: Unknown
% 1.89/0.61 % (23405)Termination phase: Saturation
% 1.89/0.61
% 1.89/0.61 % (23405)Memory used [KB]: 6396
% 1.89/0.61 % (23405)Time elapsed: 0.193 s
% 1.89/0.61 % (23405)Instructions burned: 52 (million)
% 1.89/0.61 % (23405)------------------------------
% 1.89/0.61 % (23405)------------------------------
% 1.89/0.61 % (23419)Instruction limit reached!
% 1.89/0.61 % (23419)------------------------------
% 1.89/0.61 % (23419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61 % (23419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.61 % (23419)Termination reason: Unknown
% 1.89/0.61 % (23419)Termination phase: Finite model building preprocessing
% 1.89/0.61
% 1.89/0.61 % (23419)Memory used [KB]: 1918
% 1.89/0.61 % (23419)Time elapsed: 0.028 s
% 1.89/0.61 % (23419)Instructions burned: 59 (million)
% 1.89/0.61 % (23419)------------------------------
% 1.89/0.61 % (23419)------------------------------
% 1.89/0.61 % (23406)Instruction limit reached!
% 1.89/0.61 % (23406)------------------------------
% 1.89/0.61 % (23406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61 % (23406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.61 % (23406)Termination reason: Unknown
% 1.89/0.61 % (23406)Termination phase: Saturation
% 1.89/0.61
% 1.89/0.61 % (23406)Memory used [KB]: 6396
% 1.89/0.61 % (23406)Time elapsed: 0.194 s
% 1.89/0.61 % (23406)Instructions burned: 53 (million)
% 1.89/0.61 % (23406)------------------------------
% 1.89/0.61 % (23406)------------------------------
% 1.89/0.61 TRYING [1]
% 1.89/0.61 % (23407)Instruction limit reached!
% 1.89/0.61 % (23407)------------------------------
% 1.89/0.61 % (23407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61 % (23407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.61 % (23407)Termination reason: Unknown
% 1.89/0.61 % (23407)Termination phase: Saturation
% 1.89/0.61
% 1.89/0.61 % (23407)Memory used [KB]: 6268
% 1.89/0.61 % (23407)Time elapsed: 0.218 s
% 1.89/0.61 % (23407)Instructions burned: 49 (million)
% 1.89/0.61 % (23407)------------------------------
% 1.89/0.61 % (23407)------------------------------
% 1.89/0.62 % (23408)Instruction limit reached!
% 1.89/0.62 % (23408)------------------------------
% 1.89/0.62 % (23408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.62 % (23408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.62 % (23408)Termination reason: Unknown
% 1.89/0.62 % (23408)Termination phase: Finite model building preprocessing
% 1.89/0.62
% 1.89/0.62 % (23408)Memory used [KB]: 6780
% 1.89/0.62 % (23408)Time elapsed: 0.022 s
% 1.89/0.62 % (23408)Instructions burned: 52 (million)
% 1.89/0.62 % (23408)------------------------------
% 1.89/0.62 % (23408)------------------------------
% 2.18/0.63 % (23412)Instruction limit reached!
% 2.18/0.63 % (23412)------------------------------
% 2.18/0.63 % (23412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.63 % (23412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.63 % (23412)Termination reason: Unknown
% 2.18/0.63 % (23412)Termination phase: Saturation
% 2.18/0.63
% 2.18/0.63 % (23412)Memory used [KB]: 6396
% 2.18/0.63 % (23412)Time elapsed: 0.219 s
% 2.18/0.63 % (23412)Instructions burned: 51 (million)
% 2.18/0.63 % (23412)------------------------------
% 2.18/0.63 % (23412)------------------------------
% 2.18/0.63 TRYING [2]
% 2.18/0.64 % (23430)First to succeed.
% 2.18/0.64 % (23430)Refutation found. Thanks to Tanya!
% 2.18/0.64 % SZS status Theorem for theBenchmark
% 2.18/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 2.18/0.64 % (23430)------------------------------
% 2.18/0.64 % (23430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.64 % (23430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.64 % (23430)Termination reason: Refutation
% 2.18/0.64
% 2.18/0.64 % (23430)Memory used [KB]: 6396
% 2.18/0.64 % (23430)Time elapsed: 0.247 s
% 2.18/0.64 % (23430)Instructions burned: 51 (million)
% 2.18/0.64 % (23430)------------------------------
% 2.18/0.64 % (23430)------------------------------
% 2.18/0.64 % (23401)Success in time 0.29 s
%------------------------------------------------------------------------------